{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright (C) 2016 - 2019 Pinard Liu(liujianping-ok@163.com)\n",
    "\n",
    "https://www.cnblogs.com/pinard\n",
    "\n",
    "Permission given to modify the code as long as you keep this declaration at the top\n",
    "\n",
    "用scikit-learn学习主成分分析(PCA) https://www.cnblogs.com/pinard/p/6243025.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\users\\pinard.liu\\appdata\\local\\programs\\python\\python36\\lib\\site-packages\\matplotlib\\collections.py:902: RuntimeWarning: invalid value encountered in sqrt\n",
      "  scale = np.sqrt(self._sizes) * dpi / 72.0 * self._factor\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x94d3f98>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "%matplotlib inline\n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "# X为样本特征，Y为样本簇类别， 共1000个样本，每个样本3个特征，共4个簇\n",
    "X, y = make_blobs(n_samples=10000, n_features=3, centers=[[3,3, 3], [0,0,0], [1,1,1], [2,2,2]], cluster_std=[0.2, 0.1, 0.2, 0.2], \n",
    "                  random_state =9)\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig, rect=[0, 0, 1, 1], elev=30, azim=20)\n",
    "plt.scatter(X[:, 0], X[:, 1], X[:, 2],marker='o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.98318212 0.00850037 0.00831751]\n",
      "[3.78521638 0.03272613 0.03202212]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "pca = PCA(n_components=3)\n",
    "pca.fit(X)\n",
    "print (pca.explained_variance_ratio_)\n",
    "print (pca.explained_variance_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.98318212 0.00850037]\n",
      "[3.78521638 0.03272613]\n"
     ]
    }
   ],
   "source": [
    "pca = PCA(n_components=2)\n",
    "pca.fit(X)\n",
    "print (pca.explained_variance_ratio_)\n",
    "print (pca.explained_variance_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_new = pca.transform(X)\n",
    "plt.scatter(X_new[:, 0], X_new[:, 1],marker='o')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.98318212]\n",
      "[3.78521638]\n",
      "1\n"
     ]
    }
   ],
   "source": [
    "pca = PCA(n_components=0.95)\n",
    "pca.fit(X)\n",
    "print (pca.explained_variance_ratio_)\n",
    "print (pca.explained_variance_)\n",
    "print (pca.n_components_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.98318212 0.00850037]\n",
      "[3.78521638 0.03272613]\n",
      "2\n"
     ]
    }
   ],
   "source": [
    "pca = PCA(n_components=0.99)\n",
    "pca.fit(X)\n",
    "print (pca.explained_variance_ratio_)\n",
    "print (pca.explained_variance_)\n",
    "print (pca.n_components_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.98318212]\n",
      "[3.78521638]\n",
      "1\n"
     ]
    }
   ],
   "source": [
    "pca = PCA(n_components='mle', svd_solver='full')\n",
    "pca.fit(X)\n",
    "print (pca.explained_variance_ratio_)\n",
    "print (pca.explained_variance_)\n",
    "print (pca.n_components_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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